English is my second language and I have a question. What does "s.t." mean? $ \text{min} \quad f(x) = (x_1−2)^2+(x_2−1)^2 $ $ \text{s.t.}\qquad g_{1}(x) = x_{1 ...

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Economists are still coming up with new interpretations of this problem, known as the St. Petersburg Paradox, after the city in which Euler, who invented it, was working (the name might be due to Feller). See, for example, this article, which also suggests the same value.

$\begingroup$ The problem with the St. Petersburg paradox is similar to that with my makeshift example: In that one, you would be comfortable with playing this game if you could borrow money indefinitely, so that even if you lost everything, you could use loans to keep playing the game until you get to own the whole world.

kth, (k+1)st, (k+2)nd, (k+3)rd, (k+4)th, … (zeroth, first, second, third, fourth, …) Generally, to describe the term in position k±i for a constant i, you append to (k±i) the ending of the ordinal number for position i (th, st, or nd), which can be found in a dictionary or book of grammar." So the formal answer is that it should be: (k+1)st

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Nov 30, 2014 · Your initial computation is a little confused: it should read $$\sum_{k=1}^{\infty} \frac{2^k}{2^k} = \infty.$$

We did not prove that $(x^s)^t=x^{st}$ in class and it is another exercise in the book. Is mathematical induction the only way to prove it? My proof: Statement: $(x^s)^t=x^{st}$ for all $1\leq s,t\leq n.$ Base Case: Trivially true. Inductive Hypothesis: Assume that $(x^s)^t=x^{st}$ for all $1\leq s,t\leq n.$

Apr 22, 2015 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.